Pythagoras Theorem

In Maths Mr. Rees has been teaching us about Pythagoras Theorem.

The Pythagorean Theorem is a statement in geometry that shows the relationship between the lengths of the sides of a right triangle – a triangle with one 90-degree angle. The right triangle equation is a2 + b2 = c2. Being able to find the length of a side, given the lengths of the two other sides makes the Pythagorean Theorem a useful technique for construction and navigation.

Hypotenuse:
The hypotenuse is a word used in Pythagoras Theorem. The Hypotenuse is the side opposite of the Right Angle and it is also the longest side.

Example:

 The 5 stages of Pythagoras Theorem are,

1. Draw and Label your Diagram,

2. Write down the numbers you are given,

3. Write the Proof/Theory/Formula of a right angle triangle,

4. Put the numbers in, carry out operation,

5. Answer with units

A= 4

B= 6

C= ? = Hypotenuse

What is squared? Squared is basically the number timed by itself. It you see the little 2 symbol above the letter that is identifying that the number is squared. 

To calculate the length of C we can use a squared + b squared = c squared

4 squared + 6 squared = C squared

16 + 36 = 52

Then we have to square root it.

Square root is basically what number timed the same number equals the number you already have.

The Square Root of 52 =7.21

This therefore means that the length of side C is 7.21

What is Pythagoras Theorem used for in real life?

It is used for things such as,

Architecture, Construction, Laying out square angles, Navigation and Surveying. 

How does Architecture use it?

Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle.